Question

What is the correct answer?

Answer 1

Given:

The function is

`f(x)=(x+3)^2(x-5)^6`

To find:

The zeros of the given function.

Solution:

The general form of polynomial is

`P(x)=a(x-c_1)^(m_1)(x-c_2)^(m_2)...(x-c_n)^(m_n)` ...(i)

where, a is a constant,
`c_1,c_2,...,c_n` are zeros of respective multiplicities
`m_1,m_2,...,m_n`.

We have,

`f(x)=(x+3)^2(x-5)^6`

On comparing this with (i), we get

`c_1=-3,m_1=2`

`c_2=5,m_2=6`

It means, -3 is a zero with multiplicity 2 and 5 is a zero with multiplicity 6.

Therefore, the correct option is B.